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Table A.1

Observed l.o.s. velocity dispersions and dynamical masses of UFDs.

Glx. # a1/2 [arcmin] σlos,lit [km s−1] σlos, f=0 [km s−1] log(Mf=0) [M] σlos, f [km s−1] log(Mf) [M] σlos, f=0.7 [km s−1] log(Mf=0.7) [M] Stars log(J) [GeV2cm−5] ref
Boo I 30 12.800.70+0.70Mathematical equation: $12.80_{ - 0.70}^{ + 0.70}$ 2.40.5+0.9Mathematical equation: $2.4_{ - 0.5}^{ + 0.9}$ 2.550.37(0.96)+0.45(+1.70)Mathematical equation: $2.55_{ - 0.37\left( { - 0.96} \right)}^{ + 0.45\left( { + 1.70} \right)}$ 6.080.18(0.45)+0.18(+0.48)Mathematical equation: $6.08_{ - 0.18\left( { - 0.45} \right)}^{ + 0.18\left( { + 0.48} \right)}$ 2.180.58(2.03)+0.59(+1.91)Mathematical equation: $2.18_{ - 0.58\left( { - 2.03} \right)}^{ + 0.59\left( { + 1.91} \right)}$ 5.950.31(2.38)+0.25(+0.58)Mathematical equation: $5.95_{ - 0.31\left( { - 2.38} \right)}^{ + 0.25\left( { + 0.58} \right)}$ 1.970.54(1.81)+0.58(+1.88)Mathematical equation: $1.97_{ - 0.54\left( { - 1.81} \right)}^{ + 0.58\left( { + 1.88} \right)}$ 5.860.32(2.20)+0.26(+0.62)Mathematical equation: $5.86_{ - 0.32\left( { - 2.20} \right)}^{ + 0.26\left( { + 0.62} \right)}$ RGB 16.140.62(4.76)+0.49(+1.17)Mathematical equation: $16.14_{ - 0.62\left( { - 4.76} \right)}^{ + 0.49\left( { + 1.17} \right)}$ 1
Car II 14 8.690.75+0.75Mathematical equation: $8.69_{ - 0.75}^{ + 0.75}$ 3.40.8+1.2Mathematical equation: $3.4_{ - 0.8}^{ + 1.2}$ 3.240.91(2.07)+1.30(+6.53)Mathematical equation: $3.24_{ - 0.91\left( { - 2.07} \right)}^{ + 1.30\left( { + 6.53} \right)}$ 5.860.33(0.93)+0.34(+1.00)Mathematical equation: $5.86_{ - 0.33\left( { - 0.93} \right)}^{ + 0.34\left( { + 1.00} \right)}$ 2.771.32(2.72)+1.43(+5.80)Mathematical equation: $2.77_{ - 1.32\left( { - 2.72} \right)}^{ + 1.43\left( { + 5.80} \right)}$ 5.720.61(3.65)+0.41(+1.03)Mathematical equation: $5.72_{ - 0.61\left( { - 3.65} \right)}^{ + 0.41\left( { + 1.03} \right)}$ 2.551.40(2.52)+1.40(+5.19)Mathematical equation: $2.55_{ - 1.40\left( { - 2.52} \right)}^{ + 1.40\left( { + 5.19} \right)}$ 5.650.74(3.88)+0.43(+1.01)Mathematical equation: $5.65_{ - 0.74\left( { - 3.88} \right)}^{ + 0.43\left( { + 1.01} \right)}$ RGB 17.561.22(7.30)+0.82(+2.06)Mathematical equation: $17.56_{ - 1.22\left( { - 7.30} \right)}^{ + 0.82\left( { + 2.06} \right)}$ 2
CralI 60 31.202.50+2.50Mathematical equation: $31.20_{ - 2.50}^{ + 2.50}$ 2.70.3+0.3Mathematical equation: $2.7_{ - 0.3}^{ + 0.3}$ 2.650.27(0.69)+0.32(+1.06)Mathematical equation: $2.65_{ - 0.27\left( { - 0.69} \right)}^{ + 0.32\left( { + 1.06} \right)}$ 6.810.14(0.31)+0.15(+0.34)Mathematical equation: $6.81_{ - 0.14\left( { - 0.31} \right)}^{ + 0.15\left( { + 0.34} \right)}$ 2.170.54(1.68)+0.47(+1.33)Mathematical equation: $2.17_{ - 0.54\left( { - 1.68} \right)}^{ + 0.47\left( { + 1.33} \right)}$ 6.640.30(1.33)+0.22(+0.46)Mathematical equation: $6.64_{ - 0.30\left( { - 1.33} \right)}^{ + 0.22\left( { + 0.46} \right)}$ 1.950.41(1.12)+0.41(+1.30)Mathematical equation: $1.95_{ - 0.41\left( { - 1.12} \right)}^{ + 0.41\left( { + 1.30} \right)}$ 6.550.25(0.80)+0.21(+0.49)Mathematical equation: $6.55_{ - 0.25\left( { - 0.80} \right)}^{ + 0.21\left( { + 0.49} \right)}$ RGB 14.950.60(2.67)+0.44(+0.93)Mathematical equation: $14.95_{ - 0.60\left( { - 2.67} \right)}^{ + 0.44\left( { + 0.93} \right)}$ 3
Eri III 8 0.320.04+0.03Mathematical equation: $0.32_{ - 0.04}^{ + 0.03}$ 0.00.0+9.1Mathematical equation: $0.0_{ - 0.0}^{ + 9.1}$[a] 4.833.01(4.79)+4.11(+18.28)Mathematical equation: $4.83_{ - 3.01\left( { - 4.79} \right)}^{ + 4.11\left( { + 18.28} \right)}$ 5.200.94(4.10)+0.60(+1.43)Mathematical equation: $5.20_{ - 0.94\left( { - 4.10} \right)}^{ + 0.60\left( { + 1.43} \right)}$ 4.452.91(4.41)+4.03(+17.84)Mathematical equation: $4.45_{ - 2.91\left( { - 4.41} \right)}^{ + 4.03\left( { + 17.84} \right)}$ 5.121.01(4.22)+0.63(+1.47)Mathematical equation: $5.12_{ - 1.01\left( { - 4.22} \right)}^{ + 0.63\left( { + 1.47} \right)}$ 4.633.34(4.61)+4.02(+16.85)Mathematical equation: $4.63_{ - 3.34\left( { - 4.61} \right)}^{ + 4.02\left( { + 16.85} \right)}$ 5.161.20(4.82)+0.61(+1.40)Mathematical equation: $5.16_{ - 1.20\left( { - 4.82} \right)}^{ + 0.61\left( { + 1.40} \right)}$ MS 18.732.03(8.45)+1.26(+2.94)Mathematical equation: $18.73_{ - 2.03\left( { - 8.45} \right)}^{ + 1.26\left( { + 2.94} \right)}$ 4
Hyd I 33 7.420.54+0.62Mathematical equation: $7.42_{ - 0.54}^{ + 0.62}$ 2.70.5+0.5Mathematical equation: $2.7_{ - 0.5}^{ + 0.5}$ 3.170.45(1.10)+0.52(+2.09)Mathematical equation: $3.17_{ - 0.45\left( { - 1.10} \right)}^{ + 0.52\left( { + 2.09} \right)}$ 5.700.17(0.41)+0.18(+0.48)Mathematical equation: $5.70_{ - 0.17\left( { - 0.41} \right)}^{ + 0.18\left( { + 0.48} \right)}$ 2.770.69(2.44)+0.64(+2.01)Mathematical equation: $2.77_{ - 0.69\left( { - 2.44} \right)}^{ + 0.64\left( { + 2.01} \right)}$ 5.580.29(1.91)+0.22(+0.52)Mathematical equation: $5.58_{ - 0.29\left( { - 1.91} \right)}^{ + 0.22\left( { + 0.52} \right)}$ 2.550.65(2.01)+0.57(+1.93)Mathematical equation: $2.55_{ - 0.65\left( { - 2.01} \right)}^{ + 0.57\left( { + 1.93} \right)}$ 5.510.30(1.39)+0.22(+0.53)Mathematical equation: $5.51_{ - 0.30\left( { - 1.39} \right)}^{ + 0.22\left( { + 0.53} \right)}$ RGB 18.080.58(3.82)+0.45(+1.03)Mathematical equation: $18.08_{ - 0.58\left( { - 3.82} \right)}^{ + 0.45\left( { + 1.03} \right)}$ 5
Leo IV 20 2.610.32+0.32Mathematical equation: $2.61_{ - 0.32}^{ + 0.32}$ 2.71.0+1.2Mathematical equation: $2.7_{ - 1.0}^{ + 1.2}$ 3.740.95(2.52)+1.20(+4.78)Mathematical equation: $3.74_{ - 0.95\left( { - 2.52} \right)}^{ + 1.20\left( { + 4.78} \right)}$ 6.140.33(1.04)+0.31(+0.78)Mathematical equation: $6.14_{ - 0.33\left( { - 1.04} \right)}^{ + 0.31\left( { + 0.78} \right)}$ 2.541.44(2.52)+1.50(+4.90)Mathematical equation: $2.54_{ - 1.44\left( { - 2.52} \right)}^{ + 1.50\left( { + 4.90} \right)}$ 5.800.79(4.15)+0.47(+1.00)Mathematical equation: $5.80_{ - 0.79\left( { - 4.15} \right)}^{ + 0.47\left( { + 1.00} \right)}$ 2.161.35(2.14)+1.49(+4.86)Mathematical equation: $2.16_{ - 1.35\left( { - 2.14} \right)}^{ + 1.49\left( { + 4.86} \right)}$ 5.660.92(4.40)+0.52(+1.09)Mathematical equation: $5.66_{ - 0.92\left( { - 4.40} \right)}^{ + 0.52\left( { + 1.09} \right)}$ RGB 16.201.59(8.30)+0.93(+2.00)Mathematical equation: $16.20_{ - 1.59\left( { - 8.30} \right)}^{ + 0.93\left( { + 2.00} \right)}$ 6
Leo V 10 1.050.39+0.39Mathematical equation: $1.05_{ - 0.39}^{ + 0.39}$ 3.21.4+1.7Mathematical equation: $3.2_{ - 1.4}^{ + 1.7}$ 2.441.47(2.41)+2.47(+10.76)Mathematical equation: $2.44_{ - 1.47\left( { - 2.41} \right)}^{ + 2.47\left( { + 10.76} \right)}$ 5.351.02(4.05)+0.76(+1.62)Mathematical equation: $5.35_{ - 1.02\left( { - 4.05} \right)}^{ + 0.76\left( { + 1.62} \right)}$ 2.341.50(2.32)+2.54(+13.88)Mathematical equation: $2.34_{ - 1.50\left( { - 2.32} \right)}^{ + 2.54\left( { + 13.88} \right)}$ 5.311.11(4.28)+0.79(+1.83)Mathematical equation: $5.31_{ - 1.11\left( { - 4.28} \right)}^{ + 0.79\left( { + 1.83} \right)}$ 2.161.50(2.14)+2.69(+19.48)Mathematical equation: $2.16_{ - 1.50\left( { - 2.14} \right)}^{ + 2.69\left( { + 19.48} \right)}$ 5.241.25(4.43)+0.86(+2.15)Mathematical equation: $5.24_{ - 1.25\left( { - 4.43} \right)}^{ + 0.86\left( { + 2.15} \right)}$ RGB 16.102.21(8.56)+1.58(+3.67)Mathematical equation: $16.10_{ - 2.21\left( { - 8.56} \right)}^{ + 1.58\left( { + 3.67} \right)}$ 6
Ret II 23 6.300.40+0.40Mathematical equation: $6.30_{ - 0.40}^{ + 0.40}$ 3.20.5+1.6Mathematical equation: $3.2_{ - 0.5}^{ + 1.6}$ 4.530.83(1.91)+1.11(+4.52)Mathematical equation: $4.53_{ - 0.83\left( { - 1.91} \right)}^{ + 1.11\left( { + 4.52} \right)}$ 5.850.22(0.52)+0.24(+0.65)Mathematical equation: $5.85_{ - 0.22\left( { - 0.52} \right)}^{ + 0.24\left( { + 0.65} \right)}$ 3.170.98(2.90)+1.27(+4.86)Mathematical equation: $3.17_{ - 0.98\left( { - 2.90} \right)}^{ + 1.27\left( { + 4.86} \right)}$ 5.530.37(2.21)+0.34(+0.85)Mathematical equation: $5.53_{ - 0.37\left( { - 2.21} \right)}^{ + 0.34\left( { + 0.85} \right)}$ 3.010.93(2.57)+1.22(+4.98)Mathematical equation: $3.01_{ - 0.93\left( { - 2.57} \right)}^{ + 1.22\left( { + 4.98} \right)}$ 5.490.37(1.71)+0.34(+0.89)Mathematical equation: $5.49_{ - 0.37\left( { - 1.71} \right)}^{ + 0.34\left( { + 0.89} \right)}$ RGB 17.920.74(4.42)+0.68(+1.71)Mathematical equation: $17.92_{ - 0.74\left( { - 4.42} \right)}^{ + 0.68\left( { + 1.71} \right)}$ 7
Sag II 19 1.700.50+0.50Mathematical equation: $1.70_{ - 0.50}^{ + 0.50}$ 1.70.5+0.5Mathematical equation: $1.7_{ - 0.5}^{ + 0.5}$ 1.710.34(0.77)+0.46(+2.04)Mathematical equation: $1.71_{ - 0.34\left( { - 0.77} \right)}^{ + 0.46\left( { + 2.04} \right)}$ 4.950.38(0.71)+0.36(+0.83)Mathematical equation: $4.95_{ - 0.38\left( { - 0.71} \right)}^{ + 0.36\left( { + 0.83} \right)}$ 1.060.58(1.04)+0.65(+2.16)Mathematical equation: $1.06_{ - 0.58\left( { - 1.04} \right)}^{ + 0.65\left( { + 2.16} \right)}$ 4.530.88(3.87)+0.57(+1.12)Mathematical equation: $4.53_{ - 0.88\left( { - 3.87} \right)}^{ + 0.57\left( { + 1.12} \right)}$ 0.870.49(0.85)+0.65(+1.96)Mathematical equation: $0.87_{ - 0.49\left( { - 0.85} \right)}^{ + 0.65\left( { + 1.96} \right)}$ 4.360.90(3.35)+0.63(+1.17)Mathematical equation: $4.36_{ - 0.90\left( { - 3.35} \right)}^{ + 0.63\left( { + 1.17} \right)}$ RGB 15.951.76(7.74)+1.14(+2.24)Mathematical equation: $15.95_{ - 1.76\left( { - 7.74} \right)}^{ + 1.14\left( { + 2.24} \right)}$ 8
Seg 1 64 3.930.42+0.42Mathematical equation: $3.93_{ - 0.42}^{ + 0.42}$ 3.71.1+1.4Mathematical equation: $3.7_{ - 1.1}^{ + 1.4}$ 3.560.88(2.48)+0.99(+3.07)Mathematical equation: $3.56_{ - 0.88\left( { - 2.48} \right)}^{ + 0.99\left( { + 3.07} \right)}$ 5.410.33(1.13)+0.30(+0.62)Mathematical equation: $5.41_{ - 0.33\left( { - 1.13} \right)}^{ + 0.30\left( { + 0.62} \right)}$ 3.011.12(2.97)+1.07(+3.29)Mathematical equation: $3.01_{ - 1.12\left( { - 2.97} \right)}^{ + 1.07\left( { + 3.29} \right)}$ 5.260.49(3.70)+0.35(+0.73)Mathematical equation: $5.26_{ - 0.49\left( { - 3.70} \right)}^{ + 0.35\left( { + 0.73} \right)}$ 2.801.15(2.75)+1.03(+3.70)Mathematical equation: $2.80_{ - 1.15\left( { - 2.75} \right)}^{ + 1.03\left( { + 3.70} \right)}$ 5.200.55(3.59)+0.36(+0.82)Mathematical equation: $5.20_{ - 0.55\left( { - 3.59} \right)}^{ + 0.36\left( { + 0.82} \right)}$ RGB 18.710.98(7.39)+0.69(+1.45)Mathematical equation: $18.71_{ - 0.98\left( { - 7.39} \right)}^{ + 0.69\left( { + 1.45} \right)}$ 9
Uni 1 12 0.900.30+0.40Mathematical equation: $0.90_{ - 0.30}^{ + 0.40}$ 3.71.0+1.4Mathematical equation: $3.7_{ - 1.0}^{ + 1.4}$ 3.741.02(2.43)+1.41(+6.79)Mathematical equation: $3.74_{ - 1.02\left( { - 2.43} \right)}^{ + 1.41\left( { + 6.79} \right)}$ 4.380.49(1.13)+0.48(+1.10)Mathematical equation: $4.38_{ - 0.49\left( { - 1.13} \right)}^{ + 0.48\left( { + 1.10} \right)}$ 2.821.67(2.80)+1.70(+6.62)Mathematical equation: $2.82_{ - 1.67\left( { - 2.80} \right)}^{ + 1.70\left( { + 6.62} \right)}$ 4.140.99(4.47)+0.61(+1.25)Mathematical equation: $4.14_{ - 0.99\left( { - 4.47} \right)}^{ + 0.61\left( { + 1.25} \right)}$ 2.481.46(2.44)+1.86(+6.93)Mathematical equation: $2.48_{ - 1.46\left( { - 2.44} \right)}^{ + 1.86\left( { + 6.93} \right)}$ 4.020.99(3.81)+0.69(+1.36)Mathematical equation: $4.02_{ - 0.99\left( { - 3.81} \right)}^{ + 0.69\left( { + 1.36} \right)}$ MS 20.201.99(8.94)+1.22(+2.50)Mathematical equation: $20.20_{ - 1.99\left( { - 8.94} \right)}^{ + 1.22\left( { + 2.50} \right)}$ 10
Wil 1 40 2.520.21+0.21Mathematical equation: $2.52_{ - 0.21}^{ + 0.21}$ 4.00.8+0.8Mathematical equation: $4.0_{ - 0.8}^{ + 0.8}$ 4.640.83(2.25)+0.95(+3.08)Mathematical equation: $4.64_{ - 0.83\left( { - 2.25} \right)}^{ + 0.95\left( { + 3.08} \right)}$ 5.610.29(0.70)+0.28(+0.56)Mathematical equation: $5.61_{ - 0.29\left( { - 0.70} \right)}^{ + 0.28\left( { + 0.56} \right)}$ 4.241.04(3.98)+1.10(+3.83)Mathematical equation: $4.24_{ - 1.04\left( { - 3.98} \right)}^{ + 1.10\left( { + 3.83} \right)}$ 5.530.36(2.54)+0.32(+0.67)Mathematical equation: $5.53_{ - 0.36\left( { - 2.54} \right)}^{ + 0.32\left( { + 0.67} \right)}$ 4.111.11(3.95)+1.04(+4.24)Mathematical equation: $4.11_{ - 1.11\left( { - 3.95} \right)}^{ + 1.04\left( { + 4.24} \right)}$ 5.500.39(2.92)+0.31(+0.73)Mathematical equation: $5.50_{ - 0.39\left( { - 2.92} \right)}^{ + 0.31\left( { + 0.73} \right)}$ RGB 18.740.72(5.09)+0.63(+1.35)Mathematical equation: $18.74_{ - 0.72\left( { - 5.09} \right)}^{ + 0.63\left( { + 1.35} \right)}$ 11

Notes. Observed σlos and estimated masses of UFDs. Col. 1 lists the UFDs considered in this work. Col. 2 indicates the number of stars used to infer the σlos for each galaxy. Col. 3 shows the semi-major axis projected half-light radius. Col. 4 lists the values for σlos reported in literature. Col. 5 and Col. 6 indicate the observed σlos and the estimated mass using Eq. (3) neglecting the effect of binaries. Col. 7 and Col. 8 the observed σlos and estimated mass assuming a flat prior on f. Col. 9 and Col. 10 list both parameters, assuming f = 0.7. Col. 11 shows whether the dominant component of the dataset is composed of RGB or MS stars. Col. 12 indicates the DM annihilation J-factor computed using M(f). Finally, Col. 13 lists the references the vlos data was taken from; the numbers indicate 1. Koposov et al. (2011), 2. Li et al. (2018), 3. Caldwell et al. (2017), 4. Simon et al. (2024), 5. Koposov et al. (2018), 6. Jenkins et al. (2021), 7. Koposov et al. (2015b), 8. Longeard et al. (2021), 9. Simon et al. (2011), 10. Smith et al. (2024) and 11. Willman et al. (2011). For a1/2, ellipticity and modulus distance used to compute R1/2 in physical units, the values for UNIONS I were taken from Simon et al. (2024), while the rest are from Battaglia et al. (2022).

[a] For Eridanus III the value shown for the literature is the upper value for a 90% confidence. To see the comparison with this particular value, see Appendix B.

[b] The reason why this value is different with respect to the literature can be found in Appendix B. In the same appendix all the differences in the analysis with respect to original works are described for all the galaxies.

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